Question

Represent the following situations mathematically:
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was RS.750. We would like to find out the number of toys produced on that day.

Answer 1

1)Let john has x marbles
Jivanti has (45-x) marbles
Both lost 5 marbles each
John has x-5 marbles
Jivanti has 40-x marbles.
According to Question
(x-5)*(40-x)=124
`40x-x^2+5x-200-124=0`
`x^2-45x-324=0`
x=36,9
if john has 36 marbles jivanti 9 and if john has 9 marbles then jivanti has 36 marbles.